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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-39/8, b>=a > For fixed z and a=-39/8, b=29/8





http://functions.wolfram.com/07.23.03.bahd.01









  


  










Input Form





Hypergeometric2F1[-(39/8), 29/8, -(5/2), -z] == (1/(320 (1 + z)^(9/8))) ((-(-320 + 1912 z - 11057 z^2 + 131040 z^3 + 1114368 z^4 + 1953792 z^5 + 983040 z^6)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (80 - 503 z + 2928 z^2 + 170112 z^3 + 411648 z^4 + 245760 z^5) Sin[ArcTan[Sqrt[z]]/4])










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02